Doubly coprime representation of linear systems and its application to simultaneous stabilization
Doubly coprime representation of linear systems and its application to simultaneous stabilization
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DOI：
10.1093/imamci/20.1.21
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发表时间：
2003-03
期刊：
影响因子：
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通讯作者：
H. Inaba;R. Abdursul;Satoru Takahashi
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文献类型：
--
作者：
H. Inaba;R. Abdursul;Satoru Takahashi
本文在多变量时不变线性系统传递矩阵的素数分解的基础上，提出了一种新的多变量时不变线性系统的表示理论。这种表示充分利用了素分解的代数结构，因此与通常的传递矩阵表示相比，它在以更简单和/或更紧凑的形式描述线性系统的各种性质方面具有许多优点。在这一新的表示理论的框架下，刻画了线性系统的各种稳定性和稳定性性质，最后研究了给定一组线性系统的同时镇定问题。
This paper develops a new representation theory of multivariable time‐invariant linear systems based on the well‐known coprime factorizations of their transfer matrices. This representation fully uses the algebraic structure of coprime factorizations, and hence has a number of advantages for describing various properties of linear systems in simpler and/or more compact forms than the usual transfer matrix representation. In the framework of this new representation theory, various stability and stabilizability properties of linear systems are characterized and finally a simultaneous stabilization problem for a given set of linear systems is examined.